Results 1 to 2 of 2

Math Help - improper integral

  1. #1
    Member
    Joined
    Aug 2007
    Posts
    96

    improper integral

    so, i need to either use tests or evaluation to decide whether this integral converges or diverges, but im not sure what to do!

    integral from 0 to 1 of: 1/(t-sin(t))
    i thought of doing a comparison to 1/t, but -sin(t) can take on both positive and negative values, so im not quite sure where to go
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Global Moderator

    Joined
    Nov 2005
    From
    New York City
    Posts
    10,616
    Thanks
    9
    Quote Originally Posted by mistykz View Post
    so, i need to either use tests or evaluation to decide whether this integral converges or diverges, but im not sure what to do!

    integral from 0 to 1 of: 1/(t-sin(t))
    i thought of doing a comparison to 1/t, but -sin(t) can take on both positive and negative values, so im not quite sure where to go
    \frac{1}{x-\sin x} \geq \frac{1}{x} on [\epsilon,1] where \epsilon >0. And note \int_0^1 \frac{dx}{x} diverges.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. improper integral #5
    Posted in the Math Challenge Problems Forum
    Replies: 3
    Last Post: July 1st 2011, 01:29 PM
  2. improper integral
    Posted in the Calculus Forum
    Replies: 2
    Last Post: November 18th 2009, 05:46 AM
  3. improper integral
    Posted in the Calculus Forum
    Replies: 1
    Last Post: November 16th 2009, 12:32 AM
  4. Improper Integral
    Posted in the Calculus Forum
    Replies: 3
    Last Post: March 4th 2009, 01:52 PM
  5. Improper Integral
    Posted in the Calculus Forum
    Replies: 2
    Last Post: June 23rd 2008, 07:30 PM

Search Tags


/mathhelpforum @mathhelpforum